%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN066+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:57:25 PM UTC 2026
% Result : Theorem 3.23s 0.91s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN066+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 03:24:12 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 3.23/0.91 % Refutation found
% 3.23/0.91 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.23/0.91 % SZS output start CNFRefutation for theBenchmark
% 3.23/0.91 fof(f1,axiom,(
% 3.23/0.91 (? [Y24] :(! [X19] :( ( ~ r1(X19)& X19 != Y24 )| ( r1(X19)& X19 = Y24 ) ) ))),
% 3.23/0.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.91 fof(f2,axiom,(
% 3.23/0.91 (! [X11] :(? [Y21] :(! [X12] :( ( ~ r2(X11,X12)& X12 != Y21 )| ( r2(X11,X12)& X12 = Y21 ) ) )))),
% 3.23/0.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.91 fof(f7,axiom,(
% 3.23/0.91 (! [X3,X10] :( (! [Y12] :( (! [Y13] :( ~ r2(X3,Y13)| Y13 != Y12 ))| ~ r2(X10,Y12) ))| X3 = X10 ) )),
% 3.23/0.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.91 fof(f11,axiom,(
% 3.23/0.91 (! [X7,Y10] :( (! [Y20] :( ~ r1(Y20)| Y20 != Y10 ))| ~ r2(X7,Y10) ) )),
% 3.23/0.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.91 fof(f12,conjecture,(
% 3.23/0.91 (? [Y1] :( (! [Y2] :( (! [Y3] :( (! [Y4] :( ~ r1(Y4)| ~ r2(Y4,Y3) ))| ~ r2(Y3,Y2) ))| Y1 != Y2 ))& (! [Y5] :( ~ r1(Y5)| Y1 != Y5 ) )) )),
% 3.23/0.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.91 fof(f13,negated_conjecture,(
% 3.23/0.91 ~((? [Y1] :( (! [Y2] :( (! [Y3] :( (! [Y4] :( ~ r1(Y4)| ~ r2(Y4,Y3) ))| ~ r2(Y3,Y2) ))| Y1 != Y2 ))& (! [Y5] :( ~ r1(Y5)| Y1 != Y5 ) )) ))),
% 3.23/0.91 inference(negated_conjecture,[status(cth)],[f12])).
% 3.23/0.91 fof(f14,definition,(
% 3.23/0.91 ![Y24,X19]: (sP0_prd(X19,Y24)<=>(~r1(X19)&~X19=Y24))),
% 3.23/0.91 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 3.23/0.91 fof(f15,plain,(
% 3.23/0.91 ?[Y24]: ![X19]: (sP0_prd(X19,Y24)|(r1(X19)&X19=Y24))),
% 3.23/0.91 inference(formula_renaming,[status(thm)],[f1,f14])).
% 3.23/0.91 fof(f16,plain,(
% 3.23/0.91 ![X19]: (sP0_prd(X19,sK0_skl)|(r1(X19)&X19=sK0_skl))),
% 3.23/0.91 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y24,sK0_skl)],[f15])).
% 3.23/0.91 fof(f17,plain,(
% 3.23/0.91 ![X0]: (sP0_prd(X0,sK0_skl)|r1(X0))),
% 3.23/0.91 inference(cnf_transformation,[status(thm)],[f16])).
% 3.23/0.91 fof(f18,plain,(
% 3.23/0.91 ![X0]: (sP0_prd(X0,sK0_skl)|X0=sK0_skl)),
% 3.23/0.91 inference(cnf_transformation,[status(thm)],[f16])).
% 3.23/0.91 fof(f19,definition,(
% 3.23/0.91 ![X11,Y21,X12]: (sP1_prd(X12,Y21,X11)<=>(~r2(X11,X12)&~X12=Y21))),
% 3.23/0.91 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 3.23/0.91 fof(f20,plain,(
% 3.23/0.91 ![X11]: ?[Y21]: ![X12]: (sP1_prd(X12,Y21,X11)|(r2(X11,X12)&X12=Y21))),
% 3.23/0.91 inference(formula_renaming,[status(thm)],[f2,f19])).
% 3.23/0.91 fof(f21,plain,(
% 3.23/0.91 ![X11]: ![X12]: (sP1_prd(X12,sK1_skl(X11),X11)|(r2(X11,X12)&X12=sK1_skl(X11)))),
% 3.23/0.91 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y21,sK1_skl(X11))],[f20])).
% 3.23/0.91 fof(f22,plain,(
% 3.23/0.91 ![X0,X1]: (sP1_prd(X0,sK1_skl(X1),X1)|r2(X1,X0))),
% 3.23/0.91 inference(cnf_transformation,[status(thm)],[f21])).
% 3.23/0.91 fof(f23,plain,(
% 3.23/0.91 ![X0,X1]: (sP1_prd(X0,sK1_skl(X1),X1)|X0=sK1_skl(X1))),
% 3.23/0.91 inference(cnf_transformation,[status(thm)],[f21])).
% 3.23/0.91 fof(f46,plain,(
% 3.23/0.91 ![X0,X1,X2,X3]: (~r2(X0,X1)|~X1=X2|~r2(X3,X2)|X0=X3)),
% 3.23/0.91 inference(cnf_transformation,[status(thm)],[f7])).
% 3.23/0.91 fof(f62,plain,(
% 3.23/0.91 ![Y10]: ((![Y20]: (~r1(Y20)|~Y20=Y10))|(![X7]: ~r2(X7,Y10)))),
% 3.23/0.91 inference(miniscoping,[status(thm)],[f11])).
% 3.23/0.91 fof(f63,plain,(
% 3.23/0.91 ![X0,X1,X2]: (~r1(X0)|~X0=X1|~r2(X2,X1))),
% 3.23/0.91 inference(cnf_transformation,[status(thm)],[f62])).
% 3.23/0.91 fof(f64,plain,(
% 3.23/0.91 (![Y1]: ((?[Y2]: ((?[Y3]: ((?[Y4]: (r1(Y4)&r2(Y4,Y3)))&r2(Y3,Y2)))&Y1=Y2))|(?[Y5]: (r1(Y5)&Y1=Y5))))),
% 3.23/0.91 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 3.23/0.91 fof(f65,definition,(
% 3.23/0.91 ![Y1,Y2]: (sP5_prd(Y2,Y1)<=>((?[Y3]: ((?[Y4]: (r1(Y4)&r2(Y4,Y3)))&r2(Y3,Y2)))&Y1=Y2))),
% 3.23/0.91 introduced(definition,[new_symbols(definition,[sP5_prd])],[])).
% 3.23/0.91 fof(f66,plain,(
% 3.23/0.91 ![Y1]: ((?[Y2]: sP5_prd(Y2,Y1))|(?[Y5]: (r1(Y5)&Y1=Y5)))),
% 3.23/0.91 inference(formula_renaming,[status(thm)],[f64,f65])).
% 3.23/0.91 fof(f67,plain,(
% 3.23/0.91 ![Y1]: (sP5_prd(sK20_skl(Y1),Y1)|(r1(sK21_skl(Y1))&Y1=sK21_skl(Y1)))),
% 3.23/0.91 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl]),skolemize(Y2,sK20_skl(Y1)),skolemize(Y5,sK21_skl(Y1))],[f66])).
% 3.23/0.91 fof(f68,plain,(
% 3.23/0.91 ![X0]: (sP5_prd(sK20_skl(X0),X0)|r1(sK21_skl(X0)))),
% 3.23/0.91 inference(cnf_transformation,[status(thm)],[f67])).
% 3.23/0.91 fof(f69,plain,(
% 3.23/0.91 ![X0]: (sP5_prd(sK20_skl(X0),X0)|X0=sK21_skl(X0))),
% 3.23/0.91 inference(cnf_transformation,[status(thm)],[f67])).
% 3.23/0.91 fof(f70,plain,(
% 3.23/0.91 ![Y24,X19]: ((~sP0_prd(X19,Y24)|(~r1(X19)&~X19=Y24))&(sP0_prd(X19,Y24)|(r1(X19)|X19=Y24)))),
% 3.23/0.91 inference(NNF_transformation,[status(thm)],[f14])).
% 3.23/0.91 fof(f71,plain,(
% 3.23/0.91 (![Y24,X19]: (~sP0_prd(X19,Y24)|(~r1(X19)&~X19=Y24)))&(![Y24,X19]: (sP0_prd(X19,Y24)|(r1(X19)|X19=Y24)))),
% 3.23/0.91 inference(miniscoping,[status(thm)],[f70])).
% 3.23/0.91 fof(f72,plain,(
% 3.23/0.91 ![X0,X1]: (~sP0_prd(X0,X1)|~r1(X0))),
% 3.23/0.91 inference(cnf_transformation,[status(thm)],[f71])).
% 3.23/0.91 fof(f73,plain,(
% 3.23/0.91 ![X0,X1]: (~sP0_prd(X0,X1)|~X0=X1)),
% 3.23/0.91 inference(cnf_transformation,[status(thm)],[f71])).
% 3.23/0.91 fof(f75,plain,(
% 3.23/0.91 ![X11,Y21,X12]: ((~sP1_prd(X12,Y21,X11)|(~r2(X11,X12)&~X12=Y21))&(sP1_prd(X12,Y21,X11)|(r2(X11,X12)|X12=Y21)))),
% 3.23/0.91 inference(NNF_transformation,[status(thm)],[f19])).
% 3.23/0.91 fof(f76,plain,(
% 3.23/0.91 (![X11,Y21,X12]: (~sP1_prd(X12,Y21,X11)|(~r2(X11,X12)&~X12=Y21)))&(![X11,Y21,X12]: (sP1_prd(X12,Y21,X11)|(r2(X11,X12)|X12=Y21)))),
% 3.23/0.91 inference(miniscoping,[status(thm)],[f75])).
% 3.23/0.91 fof(f77,plain,(
% 3.23/0.91 ![X0,X1,X2]: (~sP1_prd(X0,X1,X2)|~r2(X2,X0))),
% 3.23/0.91 inference(cnf_transformation,[status(thm)],[f76])).
% 3.23/0.91 fof(f78,plain,(
% 3.23/0.91 ![X0,X1,X2]: (~sP1_prd(X0,X1,X2)|~X0=X1)),
% 3.23/0.91 inference(cnf_transformation,[status(thm)],[f76])).
% 3.23/0.91 fof(f95,plain,(
% 3.23/0.91 ![Y1,Y2]: ((~sP5_prd(Y2,Y1)|((?[Y3]: ((?[Y4]: (r1(Y4)&r2(Y4,Y3)))&r2(Y3,Y2)))&Y1=Y2))&(sP5_prd(Y2,Y1)|((![Y3]: ((![Y4]: (~r1(Y4)|~r2(Y4,Y3)))|~r2(Y3,Y2)))|~Y1=Y2)))),
% 3.23/0.91 inference(NNF_transformation,[status(thm)],[f65])).
% 3.23/0.91 fof(f96,plain,(
% 3.23/0.91 (![Y1,Y2]: (~sP5_prd(Y2,Y1)|((?[Y3]: ((?[Y4]: (r1(Y4)&r2(Y4,Y3)))&r2(Y3,Y2)))&Y1=Y2)))&(![Y1,Y2]: (sP5_prd(Y2,Y1)|((![Y3]: ((![Y4]: (~r1(Y4)|~r2(Y4,Y3)))|~r2(Y3,Y2)))|~Y1=Y2)))),
% 3.23/0.91 inference(miniscoping,[status(thm)],[f95])).
% 3.23/0.91 fof(f97,plain,(
% 3.23/0.91 (![Y1,Y2]: (~sP5_prd(Y2,Y1)|(((r1(sK23_skl(Y2,Y1))&r2(sK23_skl(Y2,Y1),sK22_skl(Y2,Y1)))&r2(sK22_skl(Y2,Y1),Y2))&Y1=Y2)))&(![Y1,Y2]: (sP5_prd(Y2,Y1)|((![Y3]: ((![Y4]: (~r1(Y4)|~r2(Y4,Y3)))|~r2(Y3,Y2)))|~Y1=Y2)))),
% 3.23/0.91 inference(skolemize,[status(esa),new_symbols(skolem,[sK22_skl,sK23_skl]),skolemize(Y3,sK22_skl(Y2,Y1)),skolemize(Y4,sK23_skl(Y2,Y1))],[f96])).
% 3.23/0.91 fof(f98,plain,(
% 3.23/0.91 ![X0,X1]: (~sP5_prd(X0,X1)|r1(sK23_skl(X0,X1)))),
% 3.23/0.91 inference(cnf_transformation,[status(thm)],[f97])).
% 3.23/0.91 fof(f99,plain,(
% 3.23/0.91 ![X0,X1]: (~sP5_prd(X0,X1)|r2(sK23_skl(X0,X1),sK22_skl(X0,X1)))),
% 3.23/0.91 inference(cnf_transformation,[status(thm)],[f97])).
% 3.23/0.91 fof(f100,plain,(
% 3.23/0.91 ![X0,X1]: (~sP5_prd(X0,X1)|r2(sK22_skl(X0,X1),X0))),
% 3.23/0.91 inference(cnf_transformation,[status(thm)],[f97])).
% 3.23/0.91 fof(f101,plain,(
% 3.23/0.91 ![X0,X1]: (~sP5_prd(X0,X1)|X1=X0)),
% 3.23/0.91 inference(cnf_transformation,[status(thm)],[f97])).
% 3.23/0.91 fof(f105,plain,(
% 3.23/0.91 ![X0,X1,X2]: (~r2(X0,X1)|~r2(X2,X1)|X0=X2)),
% 3.23/0.91 inference(destructive_equality_resolution,[status(thm)],[f46])).
% 3.23/0.91 fof(f108,plain,(
% 3.23/0.91 ![X0,X1]: (~r1(X0)|~r2(X1,X0))),
% 3.23/0.91 inference(destructive_equality_resolution,[status(thm)],[f63])).
% 3.23/0.91 fof(f109,plain,(
% 3.23/0.91 ![X0]: (~sP0_prd(X0,X0))),
% 3.23/0.91 inference(destructive_equality_resolution,[status(thm)],[f73])).
% 3.23/0.91 fof(f110,plain,(
% 3.23/0.91 ![X0,X1]: (~sP1_prd(X0,X0,X1))),
% 3.23/0.91 inference(destructive_equality_resolution,[status(thm)],[f78])).
% 3.23/0.91 fof(f115,plain,(
% 3.23/0.91 ![X0]: (X0=sK21_skl(X0)|X0=sK20_skl(X0))),
% 3.23/0.91 inference(resolution,[status(thm)],[f69,f101])).
% 3.23/0.91 fof(f116,plain,(
% 3.23/0.91 ![X0]: (sP5_prd(X0,X0)|X0=sK21_skl(X0)|X0=sK21_skl(X0))),
% 3.23/0.91 inference(paramodulation,[status(thm)],[f115,f69])).
% 3.23/0.91 fof(f117,plain,(
% 3.23/0.91 ![X0]: (sP5_prd(X0,X0)|X0=sK21_skl(X0))),
% 3.23/0.91 inference(duplicate_literals_removal,[status(thm)],[f116])).
% 3.23/0.91 fof(f119,plain,(
% 3.23/0.91 ![X0]: (r1(sK21_skl(X0))|X0=sK20_skl(X0))),
% 3.23/0.91 inference(resolution,[status(thm)],[f68,f101])).
% 3.23/0.91 fof(f138,plain,(
% 3.23/0.91 r1(sK0_skl)),
% 3.23/0.91 inference(resolution,[status(thm)],[f17,f109])).
% 3.23/0.91 fof(f140,plain,(
% 3.23/0.91 ![X0]: (r2(X0,sK1_skl(X0)))),
% 3.23/0.91 inference(resolution,[status(thm)],[f22,f110])).
% 3.23/0.91 fof(f169,plain,(
% 3.23/0.91 ![X0]: (~r2(X0,sK0_skl))),
% 3.23/0.91 inference(resolution,[status(thm)],[f138,f108])).
% 3.23/0.91 fof(f177,plain,(
% 3.23/0.91 ![X0,X1]: (~r2(X0,sK1_skl(X1))|X0=X1)),
% 3.23/0.91 inference(resolution,[status(thm)],[f140,f105])).
% 3.23/0.91 fof(f194,plain,(
% 3.23/0.91 ![X0]: (~r1(X0)|X0=sK0_skl)),
% 3.23/0.91 inference(resolution,[status(thm)],[f72,f18])).
% 3.23/0.91 fof(f200,plain,(
% 3.23/0.91 ![X0,X1]: (sK23_skl(X0,X1)=sK0_skl|~sP5_prd(X0,X1))),
% 3.23/0.91 inference(resolution,[status(thm)],[f194,f98])).
% 3.23/0.91 fof(f201,plain,(
% 3.23/0.91 ![X0]: (sK21_skl(X0)=sK0_skl|X0=sK20_skl(X0))),
% 3.23/0.91 inference(resolution,[status(thm)],[f194,f119])).
% 3.23/0.91 fof(f237,plain,(
% 3.23/0.91 ![X0]: (sP5_prd(X0,X0)|r1(sK21_skl(X0))|sK21_skl(X0)=sK0_skl)),
% 3.23/0.91 inference(paramodulation,[status(thm)],[f201,f68])).
% 3.23/0.91 fof(f240,plain,(
% 3.23/0.91 ![X0]: (sP5_prd(X0,X0)|sK21_skl(X0)=sK0_skl)),
% 3.23/0.91 inference(forward_subsumption_resolution,[status(thm)],[f237,f194])).
% 3.23/0.91 fof(f247,plain,(
% 3.23/0.91 ![X0]: (sK23_skl(X0,X0)=sK0_skl|sK21_skl(X0)=sK0_skl)),
% 3.23/0.91 inference(resolution,[status(thm)],[f200,f240])).
% 3.23/0.91 fof(f248,plain,(
% 3.23/0.91 ![X0]: (sK23_skl(X0,X0)=sK0_skl|X0=sK21_skl(X0))),
% 3.23/0.91 inference(resolution,[status(thm)],[f200,f117])).
% 3.23/0.91 fof(f251,plain,(
% 3.23/0.91 ![X0]: (~sP5_prd(X0,X0)|r2(sK0_skl,sK22_skl(X0,X0))|X0=sK21_skl(X0))),
% 3.23/0.91 inference(paramodulation,[status(thm)],[f248,f99])).
% 3.23/0.91 fof(f254,plain,(
% 3.23/0.91 ![X0]: (r2(sK0_skl,sK22_skl(X0,X0))|X0=sK21_skl(X0))),
% 3.23/0.91 inference(forward_subsumption_resolution,[status(thm)],[f251,f117])).
% 3.23/0.91 fof(f286,plain,(
% 3.23/0.91 ![X0]: (~sP5_prd(X0,X0)|r2(sK0_skl,sK22_skl(X0,X0))|sK21_skl(X0)=sK0_skl)),
% 3.23/0.91 inference(paramodulation,[status(thm)],[f247,f99])).
% 3.23/0.91 fof(f289,plain,(
% 3.23/0.91 ![X0]: (r2(sK0_skl,sK22_skl(X0,X0))|sK21_skl(X0)=sK0_skl)),
% 3.23/0.91 inference(forward_subsumption_resolution,[status(thm)],[f286,f240])).
% 3.23/0.91 fof(f306,plain,(
% 3.23/0.91 ![X0,X1]: (~r2(X0,X1)|X1=sK1_skl(X0))),
% 3.23/0.91 inference(resolution,[status(thm)],[f77,f23])).
% 3.23/0.91 fof(f406,plain,(
% 3.23/0.91 ![X0]: (sK22_skl(X0,X0)=sK1_skl(sK0_skl)|sK21_skl(X0)=sK0_skl)),
% 3.23/0.91 inference(resolution,[status(thm)],[f306,f289])).
% 3.23/0.91 fof(f407,plain,(
% 3.23/0.91 ![X0]: (sK22_skl(X0,X0)=sK1_skl(sK0_skl)|X0=sK21_skl(X0))),
% 3.23/0.91 inference(resolution,[status(thm)],[f306,f254])).
% 3.23/0.91 fof(f409,plain,(
% 3.23/0.91 ![X0,X1]: (X0=sK1_skl(sK22_skl(X0,X1))|~sP5_prd(X0,X1))),
% 3.23/0.91 inference(resolution,[status(thm)],[f306,f100])).
% 3.23/0.91 fof(f506,plain,(
% 3.23/0.91 ![X0]: (X0=sK1_skl(sK22_skl(X0,X0))|sK21_skl(X0)=sK0_skl)),
% 3.23/0.91 inference(resolution,[status(thm)],[f409,f240])).
% 3.23/0.91 fof(f507,plain,(
% 3.23/0.91 ![X0]: (X0=sK1_skl(sK22_skl(X0,X0))|X0=sK21_skl(X0))),
% 3.23/0.91 inference(resolution,[status(thm)],[f409,f117])).
% 3.23/0.91 fof(f511,plain,(
% 3.23/0.91 ![X0]: (r2(sK22_skl(X0,X0),X0)|X0=sK21_skl(X0))),
% 3.23/0.91 inference(paramodulation,[status(thm)],[f507,f140])).
% 3.23/0.91 fof(f544,plain,(
% 3.23/0.91 ![X0]: (r2(sK1_skl(sK0_skl),X0)|X0=sK21_skl(X0)|X0=sK21_skl(X0))),
% 3.23/0.91 inference(paramodulation,[status(thm)],[f407,f511])).
% 3.23/0.91 fof(f553,plain,(
% 3.23/0.91 ![X0]: (r2(sK1_skl(sK0_skl),X0)|X0=sK21_skl(X0))),
% 3.23/0.91 inference(duplicate_literals_removal,[status(thm)],[f544])).
% 3.23/0.91 fof(f560,plain,(
% 3.23/0.91 ![X0]: (sK1_skl(X0)=sK21_skl(sK1_skl(X0))|sK1_skl(sK0_skl)=X0)),
% 3.23/0.91 inference(resolution,[status(thm)],[f553,f177])).
% 3.23/0.91 fof(f799,plain,(
% 3.23/0.91 ![X0]: (r2(sK22_skl(X0,X0),X0)|sK21_skl(X0)=sK0_skl)),
% 3.23/0.91 inference(paramodulation,[status(thm)],[f506,f140])).
% 3.23/0.91 fof(f1391,plain,(
% 3.23/0.91 ![X0]: (r2(sK1_skl(sK0_skl),X0)|sK21_skl(X0)=sK0_skl|sK21_skl(X0)=sK0_skl)),
% 3.23/0.91 inference(paramodulation,[status(thm)],[f406,f799])).
% 3.23/0.91 fof(f1403,plain,(
% 3.23/0.91 ![X0]: (r2(sK1_skl(sK0_skl),X0)|sK21_skl(X0)=sK0_skl)),
% 3.23/0.91 inference(duplicate_literals_removal,[status(thm)],[f1391])).
% 3.23/0.91 fof(f1414,plain,(
% 3.23/0.91 ![X0]: (sK21_skl(sK1_skl(X0))=sK0_skl|sK1_skl(sK0_skl)=X0)),
% 3.23/0.91 inference(resolution,[status(thm)],[f1403,f177])).
% 3.23/0.91 fof(f2129,plain,(
% 3.23/0.91 ![X0]: (sK1_skl(X0)=sK0_skl|sK1_skl(sK0_skl)=X0|sK1_skl(sK0_skl)=X0)),
% 3.23/0.91 inference(paramodulation,[status(thm)],[f1414,f560])).
% 3.23/0.91 fof(f2167,plain,(
% 3.23/0.91 ![X0]: (sK1_skl(X0)=sK0_skl|sK1_skl(sK0_skl)=X0)),
% 3.23/0.91 inference(duplicate_literals_removal,[status(thm)],[f2129])).
% 3.23/0.91 fof(f2222,plain,(
% 3.23/0.91 ![X0]: (r2(X0,sK0_skl)|sK1_skl(sK0_skl)=X0)),
% 3.23/0.91 inference(paramodulation,[status(thm)],[f2167,f140])).
% 3.23/0.91 fof(f2234,plain,(
% 3.23/0.91 ![X0]: (sK1_skl(sK0_skl)=X0)),
% 3.23/0.91 inference(forward_subsumption_resolution,[status(thm)],[f2222,f169])).
% 3.23/0.91 fof(f2269,plain,(
% 3.23/0.91 ![X0]: (r2(sK0_skl,X0))),
% 3.23/0.91 inference(paramodulation,[status(thm)],[f2234,f140])).
% 3.23/0.91 fof(f2275,plain,(
% 3.23/0.91 $false),
% 3.23/0.91 inference(resolution,[status(thm)],[f2269,f169])).
% 3.23/0.91 % SZS output end CNFRefutation for theBenchmark.p
% 1.15/0.92 % Elapsed time: 0.551261 seconds
% 1.15/0.92 % CPU time: 4.139886 seconds
% 1.15/0.92 % Total memory used: 162.162 MB
% 1.15/0.92 % Net memory used: 151.031 MB
%------------------------------------------------------------------------------